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Finding the Fourth Proportional to 13,877.92, 20,816.32 and 3,489.76

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Solution

The fourth proportional to 13,877.92, 20,816.32 and 3,489.76 is: 5,234.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,877.92 : 20,816.32 = 3,489.76 : x
  2. Step 2: Convert to fraction form
    13,877.92/20,816.32 = 3,489.76/x
  3. Step 3: Cross multiply
    13,877.92x = 20,816.32 × 3,489.76
  4. Step 4: Simplify right side
    13,877.92x = 72,643,960.88
  5. Step 5: Solve for x
    x = 72,643,960.88/13,877.92
  6. Step 6: Final answer
    x = 5,234.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.